13616320 has 56 divisors (see below), whose sum is σ = 34344864. Its totient is φ = 5124096.

The previous prime is 13616297. The next prime is 13616321. The reversal of 13616320 is 2361631.

It is a junction number, because it is equal to n+sod(n) for n = 13616291 and 13616300.

It is not an unprimeable number, because it can be changed into a prime (13616321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4189 + ... + 6691.

Almost surely, 2^13616320 is an apocalyptic number.

13616320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17172432).

13616320 is an abundant number, since it is smaller than the sum of its proper divisors (20728544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13616320 is a wasteful number, since it uses less digits than its factorization.

13616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 13616320 is about 3690.0298101777. The cubic root of 13616320 is about 238.7920788748.

Adding to 13616320 its reverse (2361631), we get a palindrome (15977951).

The spelling of 13616320 in words is "thirteen million, six hundred sixteen thousand, three hundred twenty".